Abstract
dc:descriptionTHE CONCEPT OF QUANTIFICATION APPEARS IN THE FIRST EXPRESSIONS OF MATHEMATICAL LANGUAGES IN THE FIRST ANNUNCIATIONS OF THEOREMS. IN THIS PERIOD THE FIRST VARIABLES APPEAR AS THE ICONS OF THE MATHEMATICAL OBJECTS. IN THE BEGINNING OF THE MATHEMATICAL LANGUAGE, (HIPPOKRATES), THE LETTERS OF THE GREEK ALPHABET WERE JUST USED AS SIGNS OF ORIENTATION. IN EUCLIDE'S WORK, THEY BECAME NAMES OF THE ICONS OF MATHEMATICAL OBJECTS. SINCE THAT PERIOD, DISCOURSE IS STRUCTURED IN TWO LEVELS: MATHEMATICAL- EPIMATHEMATICAL. THESE TWO LEVELS WERE SO DISTINGUISHED TO EACH OTHER THAT IMPERATIVE IS THE INCLINATION OF THE EPIMATHEMATICAL LEVEL INTHE SAME WAY THAT DEFINITIVE IS IN THE MATHEMATICAL. THERE ARE THREE CATEGORIES OF SYNTACTIC STRUCTURES EXPRESSING MUTIFICATIONS: EXPLICIT, MORE OR LESS EXPLICIT, IMPLICIT. SIX DIFFERENT STRUCTURES ARE USED, FOR THE V-QUANTIFICATION, AND ONLY ONE FOUR THE ]-QUANTIFICATION. IN THE EPIMATHEMATICAL LEVEL, THERE EXISTFOR STRUCTURES EXPRESSING MUTIFICATIONS. THE FORM OF PRESENTATION THE AXIOMS IS IN THE EPIMATHEMATICAL LEVEL (THE AXIOMS ARE PRESENTED), WHILE THE "COMMON SENSE" AND THE DEFINITIONS ARE SIMPLY STATED IN THE MATHEMATICAL LEVEL. FOR THIS REASON THEY HAVE A DIFFERENT SYNTACTIC STRUCTURE.
Degree
thesis:*- Grantor dc:publisher
- University of Patras
- Year dc:date
- 1991
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Παπαδοπετράκης, Ευτύχιος
Subjects
dc:subject × 24- Απόφανση
- ΔΕΣΜΕΥΣΗ ΜΕΤΑΒΛΗΤΩΝ
- ΕΚΦΡΑΣΗΠΟΣΟΔΕΙΞΕΩΝ
- ΕΛΛΗΝΙΚΟΣ ΜΑΘΗΜΑΤΙΚΟΣ ΛΟΓΟΣ
- ΕΠΙΜΑΘΗΜΑΤΙΚΟ ΕΠΙΠΕΔΟ
- ΜΑΘΗΜΑΤΙΚΗ ΓΛΩΣΣΑ
- ΜΑΘΗΜΑΤΙΚΗ ΕΚΦΡΑΣΗ
- Όνομα
- Παρουσίαση
- ΧΑΡΑΚΤΗΡΙΣΤΗΣ ΜΕΤΑΒΟΛΗΣ
- ASSERTION
- EPIMATHEMATICAL LEVEL
- EXPRESSIONS OF QUANTIFICATIONS
- GREEK MATHEMATICAL LANGUAGE
- MARKER OF VARIANCE
- MATHEMATICAL EXPRESSION
- MATHEMATICAL LANGUAGE
- MUTIFICATION
- NOUN
- Presentation
- Φυσικές Επιστήμες
- Μαθηματικά
- Natural Sciences
- Mathematics
Rights
- Language dc:language
- gre
Identifiers
dc:identifier.*- Identifier
- 10.12681/eadd/1614
- OAI identifier oai:identifier
- oai:10442/1614